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Convolutions of polynomial kernels

  • Jiří Zelinka EMAIL logo
Published/Copyright: July 6, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 3

Abstract

Kernel estimates are an integral part of non-parametric statistics. Convolutions of the kernels can be found in some expressions describing properties of kernel estimates. This paper presents the exact construction of convolutions of polynomial kernels and their properties.

MSC 2010: Primary; 62G07; 44A35
Keywords: kernel estimate of density; convolution

(Communicated by Gejza Wimmer)

References

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Received: 2012-1-9
Accepted: 2013-7-18
Published Online: 2016-7-6
Published in Print: 2016-6-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0176
Keywords for this article
kernel estimate of density; convolution

Articles in the same Issue

  1. Research Article
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  3. Research Article
  4. Characterization of hereditarily reversible posets
  5. Research Article
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  7. Research Article
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  9. Research Article
  10. On the congruent number problem over integers of cyclic number fields
  11. Research Article
  12. On the Diophantine equation x2 + C= yn for C = 2a3b17c and C = 2a13b17c
  13. Research Article
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  15. Research Article
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  17. Research Article
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  19. Research Article
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